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Finding the Fourth Proportional to 708,589,140.30, 989,728,971.30 and 708,589,140.30

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Solution

The fourth proportional to 708,589,140.30, 989,728,971.30 and 708,589,140.30 is: 989,728,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,589,140.30 : 989,728,971.30 = 708,589,140.30 : x
  2. Step 2: Convert to fraction form
    708,589,140.30/989,728,971.30 = 708,589,140.30/x
  3. Step 3: Cross multiply
    708,589,140.30x = 989,728,971.30 × 708,589,140.30
  4. Step 4: Simplify right side
    708,589,140.30x = 701,311,200,903,470,336
  5. Step 5: Solve for x
    x = 701,311,200,903,470,336/708,589,140.30
  6. Step 6: Final answer
    x = 989,728,971.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.